Flow Analysis of Powell-Eyring Fluid Over an Off-Centered Porous Rotating Disk

[1] R.V. Williamson, The flow of pseudo plastic materials, Industrial & Engineering Chemistry Research, 21(11) (1929), 1108-1111.10.1021/ie50239a035Search in Google Scholar

[2] R.E. Powell, H. Eyring, Mechanisms for the relaxation theory of viscosity, Nature, 154 (1944), 427–428.10.1038/154427a0Search in Google Scholar

[3] V.K. Stokes, Couple stresses in fluids, Physics Fluids, 9 (1966), 1709–1715.10.1063/1.1761925Search in Google Scholar

[4] E.C. Bingham, An Investigation of the Laws of Plastic Flow, U.S. Bureau of Standards Bulletin, 13 (1916), 309-353.10.6028/bulletin.304Search in Google Scholar

[5] N. Casson, Rheology of disperse systems, in Flow Equation for Pigment Oil Suspensions of the Printing Ink Type, Rheology of Disperse Systems, C. C. Mill, Ed., Pergamon Press, London, UK, (1959), 84–102.Search in Google Scholar

[6] T. Hayat, M. Pakdemirli, Y. Aksoy, similarity solutions for boundary layer equations of a Powell-Eyring fluid, Mathematical and Computational Application, 18(1) (2013), 62-70.10.3390/mca18010062Search in Google Scholar

[7] S. Islam, A. Shah, C.Y. Zhou, I. Ali, Homotopy perturbation analysis of slider bearing with Eyring-Powell fluid, Z. Angew. Math. Physics, 60 (2009), 1178–1193.10.1007/s00033-009-7034-9Search in Google Scholar

[8] J. Zueco, O.A. Beg, Network numerical simulation applied to pulsatile non-Newtonian flow through a channel with couple stress and wall mass effects, International Journal of Applied Mathematics, 5 (2009), 1-16.Search in Google Scholar

[9] M. Patel, M.G. Timol, Numerical treatment of Eyring-Powell fluid flow using method of asymptotic boundary conditions, Applied Numerical Mathematics, 59 (2009), 2584–2592.10.1016/j.apnum.2009.04.010Search in Google Scholar

[10] T. Javed, N. Ali, Z. Abbas, M. Sajid, Flow of an Erying-Powell non-Newtonian fluid over a stretching sheet, Chemical Engineering Communications, 200 (2013), 327–336.10.1080/00986445.2012.703151Search in Google Scholar

[11] N.S. Akbar, S. Nadeem, Characteristics of heating scheme and mass transfer on the peristaltic flow for an Eyring-Powell fluid in an endoscope, International Journal of Heat and Mass Transfer, 55 (2012), 375–383.10.1016/j.ijheatmasstransfer.2011.09.029Search in Google Scholar

[12] T. Hayat, Z. Iqbal, M. Qasim, S. Obaidat, Steady flow of an Eyring Powell fluid over a moving surface with convective boundary conditions, Journal of Heat and Mass Transfer, 55 (2012), 1817–1822.10.1016/j.ijheatmasstransfer.2011.10.046Search in Google Scholar

[13] T. Von Kármán, Uber laminare und turbulente Reibung, Zeitschrift für Angewandte Mathematik und Mechanik, 1(4) (1921), 233–252.10.1002/zamm.19210010401Search in Google Scholar

[14] K. Millsaps, Heat transfer by laminar flow from a rotating plate, Journal of Aeronautical Sciences, 18(5) (1951), 354-355.10.2514/8.1955Search in Google Scholar

[15] A. Ahmadpour, K. Sadeghy, Swirling flow of Bingham fluids above a rotating disk: An exact solution, Journal of Non-Newtonian Fluid Mechanics, 197 (2013), 41-47.10.1016/j.jnnfm.2013.03.001Search in Google Scholar

[16] M.M. Rashidi, H. Shahmohamadi, analytical solution of three dimensional Navier-strokes equation for the flow near an infinite rotating disk, Communications in Nonlinear Science and Numerical Simulation, 14(7) (2009), 2999-3006.10.1016/j.cnsns.2008.10.030Search in Google Scholar

[17] N.A. Khan, S. Aziz, Nadeem Alam Khan, MHD flow of Powell–Eyring fluid over a rotating disk, Journal of the Taiwan Institute of Chemical Engineers, 45 (2014), 2859–2867.10.1016/j.jtice.2014.08.018Search in Google Scholar

[18] P. Ram, A. Bhandari, Effect of phase difference between highly oscillating magnetic field and magnetization on the unsteady ferro fluid flow due to a rotating disk, Results in Physics, 3 (2013), 55–60.10.1016/j.rinp.2013.03.002Search in Google Scholar

[19] C.Y. Wang, Nonaligned stagnation flow towards a rotating disk, International Journal of Engineering Science, 46 (2008), 391-396.10.1016/j.ijengsci.2008.01.014Search in Google Scholar

[20] S. Dinarvand, On explicit, purely analytic solutions of nonaligned stagnation flow towards a rotating disk by means of HAM, Nonlinear Analysis; RWA 11(5) (2010), 3389-3398.10.1016/j.nonrwa.2009.11.029Search in Google Scholar

[21] E. Erfani, M.M. Rashidi, A.B. Parsa, The modified differential transform method for solving off-centered stagnation flow toward a rotating disc, International Journal of Computational Methods,7 (4) (2010), 655-670.10.1142/S0219876210002404Search in Google Scholar

[22] S.H. Nourbakhsh, A.A. Pasha Zanoosi, A.R. Shateri, Analytical solution for off-centered stagnation flow towards a rotating disc problem by homotopy analysis method with two auxiliary parameters, Communications in Nonlinear Science and Numerical Simulation, 16 (7) (2011), 2772–2787.10.1016/j.cnsns.2010.10.018Search in Google Scholar

[23] N.A. Khan, S. Khan, F. Riaz, Analytic Approximate Solutions and Numerical Results for Stagnation Point Flow of Jeffrey Fluid Towards an Off-Centered Rotating Disk, Journal of Mechanics, (2014) 1-15.10.1155/2014/163586392951924672291Search in Google Scholar

[24] N.A. Khan, F. Riaz, Off-centered stagnation point flow of a couple stress fluid towards a Rotating Disk, The Scientific World Journal, 2014, (2014), Article ID 163586.10.1155/2014/163586Search in Google Scholar

[25] F. Shahzad, T. Hayat, O.M. Aldossary, Oscillatory flow of fourth order fluid in a porous half space, Chemical Engineering Communications, 199, (2012) 1072-1084.10.1080/00986445.2011.617799Search in Google Scholar

[26] W.C. Tan, T. Mausoka, Stokes’ first problem for a second grade fluid in a porous half space with heated boundary, International Journal of Non-Linear Mechanics, 40 (2005), 515-522.10.1016/j.ijnonlinmec.2004.07.016Search in Google Scholar

[27] W.C. Tan, T. Mausoka, Stokes’ first problem for an Oldryod-B fluid in a porous half space, Physics of Fluids, 17 (2005), 023101-023107.10.1063/1.1850409Search in Google Scholar

[28] T. Hayat, C. Fetecau, M. Sajid, On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame, Physics Letters A 372 (2008), 1639-1644.10.1016/j.physleta.2007.10.036Search in Google Scholar

[29] H.A. Attia, Rotating disk flow and heat transfer through a porous medium of a non-Newtonian fluid with suction and injection, Communications in Nonlinear Science and Numerical Simulation, 13 (2008), 1571–1580.10.1016/j.cnsns.2006.05.009Search in Google Scholar

[30] H.A. Attia, Unsteady flow and heat transfer of viscous incompressible fluid with temperature-dependent viscosity due to a rotating disk in a porous medium, Journal of Physics A: Math Gen 39(4) (2006), 979–91.10.1088/0305-4470/39/4/017Search in Google Scholar